Translations: Match each parabola with its function. Assume that each grid line represents 1 unit.
y = x² - 1
y = (x + 1)² - 2
y = (x - 2)² + 3
Question 6
6.
Which equation is an Absolute Value function with a vertical compression by a factor of 1/2, a horizontal translation of left 4, and a vertical translation up 7?
Problem 2 Got It? How is the graph of g(x) = x² + 3 different than the parent function f(x) = x² ? What translation occurred?
g(x) is f(x) translated down 3 units
g(x) is f(x) translated left 3 units
g(x) is f(x) translated up 3 units
g(x) is f(x) translated right 3 units
Problem 2 Got It? How is the graph of h(x) = (x + 1)² different from the parent function f(x) = x² ?
h(x) is f(x) translated left 1 unit
h(x) is f(x) translated up 1 unit
h(x) is f(x) translated down 1 unit
h(x) is f(x) translated right 1 unit
Problem 4 Got It?
B
C
D
Solve It! The graph of the parent cubic function f(x) = x³ is shown in blue. The red graph is a transformation g of the parent function f. What is an equation for g?